472677120 has 360 divisors, whose sum is σ = 1745118144. Its totient is φ = 122093568.

The previous prime is 472677097. The next prime is 472677133. The reversal of 472677120 is 21776274.

It is a happy number.

472677120 is a `hidden beast` number, since 472 + 67 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4872912 + ... + 4873008.

Almost surely, 2^472677120 is an apocalyptic number.

472677120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872559072).

472677120 is an abundant number, since it is smaller than the sum of its proper divisors (1272441024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472677120 is an equidigital number, since it uses as much as digits as its factorization.

472677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 472677120 is about 21741.1388846123. The cubic root of 472677120 is about 778.9714252947.

The spelling of 472677120 in words is "four hundred seventy-two million, six hundred seventy-seven thousand, one hundred twenty".